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Finding the Fourth Proportional to 56,838.86, 78,434.43 and 31,344.38

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Solution

The fourth proportional to 56,838.86, 78,434.43 and 31,344.38 is: 43,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,838.86 : 78,434.43 = 31,344.38 : x
  2. Step 2: Convert to fraction form
    56,838.86/78,434.43 = 31,344.38/x
  3. Step 3: Cross multiply
    56,838.86x = 78,434.43 × 31,344.38
  4. Step 4: Simplify right side
    56,838.86x = 2,458,478,579.00
  5. Step 5: Solve for x
    x = 2,458,478,579.00/56,838.86
  6. Step 6: Final answer
    x = 43,253.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.